(Solved): The motion of the particle A in the vertical plane is driven by a forked rod. The shape of the pat ...

The motion of the particle A in the vertical plane is driven by a forked rod. The shape of the path is given by the function \( r=(3+\cos \theta) \mathrm{ft} \). If the mass of the particle is \( 5.50 \mathrm{lb}, \theta=0.3 \mathrm{t}^{\wedge} 2 \), where \( \mathrm{t} \) is in seconds, \( \theta \) is in radians, and coefficient of kinetic friction \( \mu \mathrm{k}=0.25 \), determine the force exerted by the rod to the particle and the normal force when \( t=1.25 \) seconds.